Finding the Third Proportional to 41,783 and 91,834

Step by Step Solution

1. Step 1: Write the proportion equation
   41,783 : 91,834 = 91,834 : x
2. Step 2: Convert to fraction form
   41,783/91,834 = 91,834/x
3. Step 3: Cross multiply
   41,783x = 91,834 × 91,834
4. Step 4: Simplify right side
   41,783x = 8,433,483,556
5. Step 5: Solve for x
   x = 8,433,483,556/41,783
6. Step 6: Final answer
   x = 201,840.07